A better choice would have been decking screws, but water under the bridge. I would not worry about blocking and your screws.

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I read construction screws were stronger than deck screws that’s why I got these

but then I saw the non structural wording on the box and thought huh?

I have wires running through some of my blocks that’s why I don’t want them to come loose and fall

 

Not sure of your source, but you are fine with the construction screws.

 

no need to remove the blocking you can always just add some nails if you are worried.

 

Ah yea that’s what I’ll do, a lot nails left over from the framing, although I’m not very good with a hammer lol

 

A nail gun or palm nailer would make adding nails easy and good tools to have.

Bud

 

How about joist hangers or corner brackets for the blocking. You could screw them in.....no hammering.

 

If the blocking is tight between the joists, the screws just hold them in place, there is no shear loading or pull out worry.
If they are tight and don't fall down you are fine.

 

Nails are made from wires so they bend. Screws are more brittle so may break. For mid joist blocks, I doubt there will be that much displacement for screws to break. I think those screws will work. Even drywall screws bend unless you hit them almost from the side. If you want more fasteners, I would just add more screws than nails. Angle screw driver. Thinking about palm nailer, since blocks are up already, it will not work unless you're toenailing every block with 16d nails so you can use more angle.

 

Just my opinion. The live load above them changes as people walk across the floor. This varying load results in flexing. Although difficult to detect it is there. That movement will over time cause lesser screws to fail. Nails can tolerate more flexing without failing.
IMO, add some nails.

Bud

 

The only reason the "non-structural" 'disclaimer' is on there is that they don't do extensive strength testing on them to provide the level of assurance that critical structural applications require (things that could cause the house to fall down if they fail).